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Characterization and control of the fiber-matrix interface in ceramic ...

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174<br />

Conversely, <strong>the</strong> <strong>in</strong>dividual Nicalon filaments were impossible to<br />

test. The number <strong>of</strong> dependent variables <strong>in</strong>creased greatly with<br />

decreas<strong>in</strong>g size <strong>of</strong> <strong>the</strong> filaments. The most obvious <strong>of</strong> <strong>the</strong>se were warp<strong>in</strong>g<br />

<strong>of</strong> <strong>the</strong> filaments dur<strong>in</strong>g <strong>the</strong> coat<strong>in</strong>g process <strong>and</strong> <strong>the</strong> <strong>in</strong>fluence <strong>of</strong> coat<strong>in</strong>g<br />

microstructure.<br />

The majority <strong>of</strong> <strong>the</strong> Nicalon filaments warped dur<strong>in</strong>g<br />

coat<strong>in</strong>g.<br />

The problem is a comb<strong>in</strong>ation <strong>of</strong> <strong>the</strong> <strong>the</strong>rmal expansion mismatch<br />

between <strong>the</strong> <strong>fiber</strong> <strong>and</strong> mount<strong>in</strong>g fixture <strong>and</strong> <strong>the</strong> unforgiv<strong>in</strong>g forces <strong>of</strong><br />

gravity. Tensile load<strong>in</strong>g <strong>of</strong> bent coated <strong>fiber</strong>s resulted <strong>in</strong> premature <strong>and</strong><br />

catastrophic failure <strong>of</strong> <strong>the</strong> specimens.<br />

The morphology <strong>and</strong> structure <strong>of</strong> <strong>the</strong> coat<strong>in</strong>gs greatly <strong>in</strong>fluenced <strong>the</strong><br />

test<strong>in</strong>g <strong>of</strong> <strong>the</strong> small-diameter filaments. The gra<strong>in</strong> size <strong>of</strong> <strong>the</strong> coat<strong>in</strong>g,<br />

<strong>and</strong> perturbations at <strong>the</strong> coat<strong>in</strong>g surface affected <strong>the</strong> coat<strong>in</strong>g fracture.<br />

The average gra<strong>in</strong> size <strong>of</strong> CVD Sic deposited on Nicalon <strong>fiber</strong>s at <strong>the</strong><br />

given experimental conditions is approximately 1 pm. Nucleation is rapid<br />

<strong>and</strong> uniform at <strong>the</strong> untreated <strong>fiber</strong> surface; however, nucleation <strong>of</strong> Sic on<br />

<strong>the</strong> surface <strong>of</strong> <strong>the</strong> carbon <strong>in</strong>termediate layer is somehow h<strong>in</strong>dered.<br />

This results <strong>in</strong> a coat<strong>in</strong>g hav<strong>in</strong>g poorly distributed, large Sic gra<strong>in</strong>s.<br />

L<strong>in</strong>ear expressions for shear stress were used <strong>in</strong> <strong>the</strong> analysis <strong>of</strong> a<br />

coated <strong>fiber</strong> placed <strong>in</strong> tension. As with <strong>the</strong> <strong>in</strong>dentation method, morerealistic<br />

shear-lag <strong>the</strong>ories have been applied to <strong>the</strong> <strong>fiber</strong>-sheath model<br />

(162-164).<br />

These analyses account for shear stress buildup near <strong>the</strong> ends<br />

<strong>of</strong> <strong>the</strong> <strong>fiber</strong>s <strong>and</strong> <strong>the</strong> nonl<strong>in</strong>ear decreases <strong>in</strong> stress away from <strong>the</strong><br />

fracture (Figure 11.5).<br />

The shear-lag <strong>the</strong>ories, however, may not be<br />

accurate at higher stress levels (72).<br />

Hany <strong>of</strong> <strong>the</strong> computations rely on<br />

elastic behavior <strong>in</strong> <strong>the</strong> components, <strong>and</strong> as discussed, <strong>ceramic</strong> materials<br />

exhibit very limited elastic response. Factors such as Poisson's

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